2158416720 has 400 divisors, whose sum is σ = 8080554240. Its totient is φ = 532251648.

The previous prime is 2158416677. The next prime is 2158416721. The reversal of 2158416720 is 276148512.

2158416720 is a `hidden beast` number, since 2 + 1 + 584 + 1 + 6 + 72 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2158416721) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5786454 + ... + 5786826.

Almost surely, 2^2158416720 is an apocalyptic number.

2158416720 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2158416720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4040277120).

2158416720 is an abundant number, since it is smaller than the sum of its proper divisors (5922137520).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2158416720 is a wasteful number, since it uses less digits than its factorization.

2158416720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 464 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 2158416720 is about 46458.7636512209. The cubic root of 2158416720 is about 1292.3448966919.

The spelling of 2158416720 in words is "two billion, one hundred fifty-eight million, four hundred sixteen thousand, seven hundred twenty".